On the carrying dimension of occupation measures for self-affine random fields
DOI10.19195/0208-4147.39.2.12zbMath1447.60068arXiv1705.05676OpenAlexW3012045298MaRDI QIDQ5109855
Ercan Sönmez, Peter Becker-Kern
Publication date: 13 May 2020
Published in: Probability and Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.05676
graphrandom fieldHausdorff dimensionoccupation measurerangerandom measureoperator self-similaritysingular value functionself-affinitycarrying dimensionoperator semistable
Random fields (60G60) Random measures (60G57) Self-similar stochastic processes (60G18) Fractals (28A80) Hausdorff and packing measures (28A78)
Cites Work
- Hausdorff measure and packing measure of the graph of dilation-stable Lévy processes
- Exponents, symmetry groups and classification of operator fractional Brownian motions
- Hausdorff dimension of the graph of an operator semistable Lévy process
- Multivariate operator-self-similar random fields
- Hausdorff and packing dimensions of the images of random fields
- Integral representations and properties of operator fractional Brownian motions
- The Hausdorff dimension of multivariate operator-self-similar Gaussian random fields
- Exponents of operator self-similar random fields
- A dimension theorem for sample functions of stable processes
- Anisotropic self-affine properties of experimental fracture surfaces
- Operator scaling stable random fields
- Self-similar random measures. I: Notion, carrying Hausdorff dimension, and hyperbolic distribution
- Operator self similar stochastic processes in \(R^ n\).
- Semi-selfsimilar processes
- Hausdorff dimension of operator stable sample paths
- Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties
- Real self-similar processes started from the origin
- The Hausdorff dimension of operator semistable Lévy processes
- Hölder regularity for operator scaling stable random fields
- Dimension results for sample paths of operator stable Lévy processes
- Random Fractals Generated by Random Cutouts
- The Hausdorff Dimension Distribution of Finite Measures in Euclidean Space
- The Hausdorff dimension of self-affine fractals
- DETERMINATION OF FRACTAL SCALES ON TRABECULAR BONE X-RAY IMAGES
- Sample function properties of multi-parameter stable processes
- Self‐Similar Random Measures III – Self‐Similar Random Processes
- The dimension of self-affine fractals II
- Fractal Analysis of Surface Roughness by Using Spatial Data
- Fractal properties of products and projections of measures in ℝd
- Dimension properties of sample paths of self-similar processes
- Sample Path Properties of Operator-Slef-Similar Gaussian Random Fields
- Multiparameter Processes
- Self‐Similar Random Measures. II A Generalization to Self‐Affine Measures
- Operator-Self-Similar Processes in a Finite-Dimensional Space
- Semi-Stable Stochastic Processes
- Dimensions of Self-affine Sets: A Survey
- Self-Similar Anisotropic Texture Analysis: The Hyperbolic Wavelet Transform Contribution
- Modeling stock prices by multifractional Brownian motion: an improved estimation of the pointwise regularity
- Sample path properties of processes with stable components
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